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Finding the Fourth Proportional to 616,074.30, 922,297.05 and 458,999.10

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Solution

The fourth proportional to 616,074.30, 922,297.05 and 458,999.10 is: 687,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,074.30 : 922,297.05 = 458,999.10 : x
  2. Step 2: Convert to fraction form
    616,074.30/922,297.05 = 458,999.10/x
  3. Step 3: Cross multiply
    616,074.30x = 922,297.05 × 458,999.10
  4. Step 4: Simplify right side
    616,074.30x = 423,333,515,882.66
  5. Step 5: Solve for x
    x = 423,333,515,882.66/616,074.30
  6. Step 6: Final answer
    x = 687,146.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.